Anastassios Vladikas

The supersymmetric Ward identities on the lattice

Abstract Supersymmetric (SUSY) Ward identities are considered for the N=1 SU(2) SUSY Yang-Mills theory discretized on the lattice with Wilson fermions (gluinos). They are used in order to compute non-perturbatively a subtracted gluino mass and the mixing coefficient of the SUSY current. The computations were performed at gauge coupling

SUSY Ward identities in N=1 SYM theory on the lattice

beta=2.3

Low-energy features of SU(2) Yang-Mills theory with light gluinos

and hopping parameter

SUSY Ward identities in 1-loop perturbation theory

kappa!=!0.1925

Lattice supersymmetric ward identities

, 0.194, 0.1955 using the two-step multi-bosonic dynamical-fermion algorithm. Our results are consistent with a scenario where the Ward identities are satisfied up to O(a) effects. The vanishing of the gluino mass occurs at a value of the hopping parameter which is not fully consistent with the estimate based on the chiral phase transition. This suggests that, although SUSY restoration appears to occur close to the continuum limit of the lattice theory, the results are still affected by significant systematic effects.

Non-perturbative quark mass renormalisation and running in

Abstract The SUSY Ward identities (WIs) for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos) are considered. The study is performed in the framework of a Monte Carlo simulation of the model with light dynamical gluinos. The renormalization and mixing constants of the lattice SUSY current ZS and ZT and the additively renormalized gluino mass mS are unknown parameters of the SUSY WIs. Using suitable on-shell combinations of the WIs, the ratios ZT/ZS and mS/ZS are determined non-perturbatively at one value of the coupling constant g0 and two values of the hopping parameter κ.

N_f=3

Abstract We report on the latest results of the low-lying spectrum of bound states in SU(2) Yang-Mills theory with light gluinos. The behavior of the disconnected contributions in the critical region is analyzed. A first investigation of a three-gluino state is also discussed.

QCD

Abstract We present preliminary results of a study of the supersymmetric (SUSY) Ward identities (WIs) for the N = 1 SU(2) SUSY Yang-Mills theory in the context of one-loop lattice perturbation theory. The supersymmetry on the lattice is explicitly broken by the gluino mass and the lattice artifacts. However, the renormalization of the supercurrent can be carried out in a scheme that restores the nominal continuum WIs. The perturbative calculation of the renormalization constants and mixing coefficients for the local supercurrent is presented.

Prospects and status of quark mass renormalization in three-flavour QCD

Abstract SUSY Ward identities for the N=1 SU(2) SUSY Yang-Mills theory are studied on the lattice in a non-perturbative numerical approach. As a result a determination of the subtracted gluino mass is obtained.

Non-perturbative quark mass renormalisation and running in \(N_{\scriptstyle \mathrm{f}}=3\) QCD

We determine from first principles the quark mass anomalous dimension in